The Answer would be A because the 3rd quadrant requires all points, or in this case, vertex coordinates to be negative (-x,-y). A is the only answer that has all vertex coordinates (-x,-y).
The diagram shows A's coordinates plotted out. You can confirm that the original and new, translated shape are congruent and in the 3rd quadrant.
We know that <span>1) Kayla originally has 64b dollars </span>2) <span>She gave 1/8 of it to Luke-----> (1/8)*64b=8b in this moment Kayla has------> 64b-8b=56b 3) </span>Kayla spent $45 in this moment Kayla has------> 56b-$45